Delay-Dependent Robust H_∞ Control for Uncertain 2-D Discrete State Delay Systems Described by the General Model  

作　　者：Arun Kumar Singh Akshata Tandon Amit Dhawan Arun Kumar Singh;Akshata Tandon;Amit Dhawan(Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India)

机构地区：[1]Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India

出　　处：《Circuits and Systems》2016年第11期3645-3669,共25页电路与系统（英文）

摘　　要：This paper considers the problem of delay-dependent robust optimal H_∞ control for a class of uncertain two-dimensional (2-D) discrete state delay systems described by the general model (GM). The parameter uncertainties are assumed to be norm-bounded. A linear matrix inequality (LMI)-based sufficient condition for the existence of delay-dependent g-suboptimal state feedback robust H_∞ controllers which guarantees not only the asymptotic stability of the closed-loop system, but also the H_∞ noise attenuation g over all admissible parameter uncertainties is established. Furthermore, a convex optimization problem is formulated to design a delay-dependent state feedback robust optimal H_∞ controller which minimizes the H_∞ noise attenuation g of the closed-loop system. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.This paper considers the problem of delay-dependent robust optimal H_∞ control for a class of uncertain two-dimensional (2-D) discrete state delay systems described by the general model (GM). The parameter uncertainties are assumed to be norm-bounded. A linear matrix inequality (LMI)-based sufficient condition for the existence of delay-dependent g-suboptimal state feedback robust H_∞ controllers which guarantees not only the asymptotic stability of the closed-loop system, but also the H_∞ noise attenuation g over all admissible parameter uncertainties is established. Furthermore, a convex optimization problem is formulated to design a delay-dependent state feedback robust optimal H_∞ controller which minimizes the H_∞ noise attenuation g of the closed-loop system. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.

关 键 词：2-D Discrete System General Model H_∞ Control Linear Matrix Inequality State Delays Uncertain System 

分 类 号：O17[理学—数学]